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Allushta [10]
3 years ago
13

Gavin goes to the market and buys one rectangle shape board. The length of the board is 16 cm and width of board is 10cm . If he

wants to add a 2cm wooden board around the board, what will be the area of the rectangle board?
Mathematics
1 answer:
Elanso [62]3 years ago
7 0

Answer:

280cm squared

Step-by-step explanation:

By adding a 2cm wooden board, Gavin is adding 4 cm to each side, os the new sides would be 14 and 20. 14*20=280 cm squared.

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If X²⁰¹³ + 1/X²⁰¹³ = 2, then find the value of X²⁰²² + 1/X²⁰²² = ?​
enyata [817]

Step-by-step explanation:

\bf➤ \underline{Given-} \\

\sf{x^{2013} + \frac{1}{x^{2013}} = 2}\\

\bf➤ \underline{To\: find-} \\

\sf {the\: value \: of \: x^{2022} + \frac{1}{x^{2022}}= ?}\\

\bf ➤\underline{Solution-} \\

<u>Let us assume that:</u>

\rm: \longmapsto u =  {x}^{2013}

<u>Therefore, the equation becomes:</u>

\rm: \longmapsto u +  \dfrac{1}{u}  = 2

\rm: \longmapsto \dfrac{  {u}^{2} + 1}{u}  = 2

\rm: \longmapsto{u}^{2} + 1 = 2u

\rm: \longmapsto{u}^{2} - 2u + 1 =0

\rm: \longmapsto  {(u - 1)}^{2} =0

\rm: \longmapsto u = 1

<u>Now substitute the value of u. We get:</u>

\rm: \longmapsto {x}^{2013}  = 1

\rm: \longmapsto x = 1

<u>Therefore:</u>

\rm: \longmapsto {x}^{2022}  +  \dfrac{1}{ {x}^{2022} }  = 1 + 1

\rm: \longmapsto {x}^{2022}  +  \dfrac{1}{ {x}^{2022} }  = 2

★ <u>Which is our required answer.</u>

\textsf{\large{\underline{More To Know}:}}

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b)(a - b)

(a + b)³ = a³ + 3ab(a + b) + b³

(a - b)³ = a³ - 3ab(a - b) - b³

a³ + b³ = (a + b)(a² - ab + b²)

a³ - b³ = (a - b)(a² + ab + b²)

(x + a)(x + b) = x² + (a + b)x + ab

(x + a)(x - b) = x² + (a - b)x - ab

(x - a)(x + b) = x² - (a - b)x - ab

(x - a)(x - b) = x² - (a + b)x + ab

6 0
3 years ago
Find the value of x.
Anni [7]

Answer:

x = 56

Step-by-step explanation:

4 0
2 years ago
Lilla read 1/5 of her book last week. This week she read 3 times as much as she read last week. B. There are 75 pages in Lilla's
likoan [24]

Answer:

15pages

Step-by-step explanation:

there are 75 pages on her book

lilla read 1/5 of her book last week=1/5*75=15pages

this week she read 3times as much as she read last week=3*15=45pages

pages left to readcan be given as;

75-(15+45)

75-60= 15pages

3 0
3 years ago
Write an equation of the line that passes through the given point and has the given slope
vfiekz [6]
The formula is y = mx+b where m is the slope and b is the y intercept.

y = 0x + b
7 = (-6)0 + b
7 = 0 + b
b = 7
y = +7


4 0
3 years ago
Here are 15,000 students at college x. of those students, 1,700 are taking both ethics and metaphysics this semester. there are
tekilochka [14]
I think the answer is 1,600 totals students taking metaphysics
7 0
3 years ago
Read 2 more answers
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